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Remainder Theorem

The polynomia...

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The polynomial ax3 + 41x2 + x – 2 when divided by (4x – 1) leaves remainder Then, the value of a and the remainder when the given polynomial is divided by x + 2 are respectively

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Q. The polynomial

p (x) = a x^{3} + 4 x^{2} + 3 x - 4

q (x) = x^{3} - 4 x + a

leave same remainder when divided by

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a

and hence find the remainder when

p (x)

(x - 2) .

f (x)

is a polynomial when divided by

(x - 2)

(x + 2)

leaves remainder

5

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respectively and when divided by

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Q. A quadratic polynomial when divided by

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, leaves a remainder

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. What will be the remainder if it is divided by

(x + 2) (x - 1)

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Q. A polynomial

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15

when divided by

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when divided by

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the remainder is

Q. The polynomial f(x) = x⁴ − 2x³ + 3x² − ax = b when divided by (x − 1) and (x + 1) leaves the remainder 5 and 19 respectively. Find the values of a and b. Hence, find the remainder when f(x) is divided by (x − 2).

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